A universal framework for the quantum simulation of Yang-Mills theory Article Swipe

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Jad C. Halimeh , Masanori Hanada , Shunji Matsuura , Franco Nori , Enrico Rinaldi , Andreas Schäfer ·

YOU? · · 2024 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2411.13161

We provide a universal framework for the quantum simulation of SU(N) Yang--Mills theories on fault-tolerant digital quantum computers adopting the orbifold lattice formulation. As warm-up examples, we also consider simple models, including scalar field theory and the Yang--Mills matrix model, to illustrate the universality of our formulation, which shows up in the fact that the truncated Hamiltonian can be expressed in the same simple form for any N, any dimension, and any lattice size, in stark contrast to the popular approach based on the Kogut--Susskind formulation. In all these cases, the truncated Hamiltonian can be programmed on a quantum computer using only standard tools well-established in the field of quantum computation. As a concrete application of this universal framework, we consider Hamiltonian time evolution by Suzuki--Trotter decomposition. This turns out to be a straightforward task due to the simplicity of the truncated Hamiltonian. We also provide a simple circuit structure that contains only CNOT and one-qubit gates, independent of the details of the theory investigated.

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Type: preprint
Language: en
Landing Page: http://arxiv.org/abs/2411.13161
PDF: https://arxiv.org/pdf/2411.13161
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Related Works: 10
OpenAlex ID: https://openalex.org/W4404648863

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DOI: https://doi.org/10.48550/arxiv.2411.13161

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Title: A universal framework for the quantum simulation of Yang-Mills theory

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Type: preprint

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Language: en

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Publication year: 2024

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Publication date: 2024-11-20

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Authors: Jad C. Halimeh, Masanori Hanada, Shunji Matsuura, Franco Nori, Enrico Rinaldi, Andreas Schäfer

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Landing page: https://arxiv.org/abs/2411.13161

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Concepts: Quantum, Theoretical physics, Mathematical physics, Mathematics, Physics, Quantum mechanics

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